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Finding the Third Proportional to 17,908 and 41,627

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Solution

The third proportional to 17,908 and 41,627 is: 96,761.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,908 : 41,627 = 41,627 : x
  2. Step 2: Convert to fraction form
    17,908/41,627 = 41,627/x
  3. Step 3: Cross multiply
    17,908x = 41,627 × 41,627
  4. Step 4: Simplify right side
    17,908x = 1,732,807,129
  5. Step 5: Solve for x
    x = 1,732,807,129/17,908
  6. Step 6: Final answer
    x = 96,761.62

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.